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2490218880 = 27352834583
BaseRepresentation
bin1001010001101101…
…1011100110000000
320102112210020002220
42110123123212000
520044444001010
61051034011040
7115465340232
oct22433334600
96375706086
102490218880
111068733336
12595b76a80
13308bb63c6
14198a26252
15e8947970
hex946db980

2490218880 has 128 divisors (see below), whose sum is σ = 7967358720. Its totient is φ = 661567488.

The previous prime is 2490218867. The next prime is 2490218903. The reversal of 2490218880 is 888120942.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541069 + ... + 545651.

It is an arithmetic number, because the mean of its divisors is an integer number (62244990).

Almost surely, 22490218880 is an apocalyptic number.

2490218880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983679360).

2490218880 is an abundant number, since it is smaller than the sum of its proper divisors (5477139840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2490218880 is a wasteful number, since it uses less digits than its factorization.

2490218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 2490218880 is about 49902.0929420801. The cubic root of 2490218880 is about 1355.4364919562.

The spelling of 2490218880 in words is "two billion, four hundred ninety million, two hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 283 320 384 480 566 640 849 960 1132 1415 1698 1920 2264 2830 3396 4245 4528 4583 5660 6792 8490 9056 9166 11320 13584 13749 16980 18112 18332 22640 22915 27168 27498 33960 36224 36664 45280 45830 54336 54996 67920 68745 73328 90560 91660 108672 109992 135840 137490 146656 181120 183320 219984 271680 274980 293312 366640 439968 543360 549960 586624 733280 879936 1099920 1296989 1466560 1759872 2199840 2593978 2933120 3890967 4399680 5187956 6484945 7781934 8799360 10375912 12969890 15563868 19454835 20751824 25939780 31127736 38909670 41503648 51879560 62255472 77819340 83007296 103759120 124510944 155638680 166014592 207518240 249021888 311277360 415036480 498043776 622554720 830072960 1245109440 2490218880